Construction of approximate analytical solutions to a new class of non-linear oscillator equations

DOI10.1016/S0022-460X(86)80215-2zbMath1235.70146OpenAlexW2331726016MaRDI QIDQ2879726

S. Bravo Yuste, J. Díaz Bejarano

Publication date: 5 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(86)80215-2

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)

Related Items (17)

Elliptic balance solution of two-degree-of-freedom, undamped, forced systems with cubic nonlinearity ⋮ Perturbative treatment of conservative and non-conservative oscillators ⋮ Application of the elliptic balance method to a nonlinear singular oscillator ⋮ Nonlinear time transformation method for strong nonlinear oscillation systems ⋮ Asymptotic methods for vibrations of the pure non-integer order oscillator ⋮ Averaging using elliptic functions: Approximation of limit cycles ⋮ Generalized Fourier transforms for nonlinear systems ⋮ Generalized Fourier series for non-linear systems: application to the study of limit cycles in second-order approximation ⋮ On the motion of a generalized van der Pol oscillator ⋮ Periodic solution of the Duffing-Van der Pol oscillator by homotopy perturbation method ⋮ Time evolution of a toy semiholographic glasma ⋮ On a new criterion for evaluating the stability of the limit cycles of perturbed duffing oscillators ⋮ On The Elliptic Balance Method ⋮ Generalized exponential, circular, and hyperbolic functions for nonlinear wave equations ⋮ Prediction of homoclinic bifurcation: the elliptic averaging method ⋮ Performance analysis of a geometrically nonlinear isolation system subjected to high levels of excitation ⋮ Nonlinear Longitudinal Vibrations of a Rod

This page was built for publication: Construction of approximate analytical solutions to a new class of non-linear oscillator equations